Neutron optical test of completeness of quantum root-mean-square errors

One of the major problems in quantum physics has been to generalize the classical root-mean-square error to quantum measurements to obtain an error measure satisfying both soundness (to vanish for any accurate measurements) and completeness (to vanish only for accurate measurements). A noise-operato...

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Authors: Sponar, Stephan, Danner, Armin, Ozawa, Masanao, Hasegawa, Yuji
Format: Article
Language:English
Subjects:
Completeness
Error analysis
Noise measurement
Quantum theory
Root-mean-square errors
Online Access:Get full text
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Summary:One of the major problems in quantum physics has been to generalize the classical root-mean-square error to quantum measurements to obtain an error measure satisfying both soundness (to vanish for any accurate measurements) and completeness (to vanish only for accurate measurements). A noise-operator based error measure has been commonly used for this purpose, but it has turned out incomplete. Recently, Ozawa proposed a new definition for a noise-operator based error measure to be both sound and complete. Here, we present a neutron optical demonstration for the completeness of the new error measure for both projective (or sharp) as well as generalized (or unsharp) measurements.
ISSN:2331-8422
DOI:10.48550/arxiv.2009.06418